Shape-Based Regularization of Electron Tomographic Reconstruction

We introduce a tomographic reconstruction method implemented using a shape-based regularization technique. Spatial models of known features in the structure being reconstructed are integrated into the reconstruction process as regularizers. Our regularization scheme is driven locally through shape information obtained from segmentation and compared with a known spatial model. We demonstrated our method on tomography data from digital phantoms, simulated data, and experimental electron tomography (ET) data of virus complexes. Our reconstruction showed reduced blurring and an improvement in the resolution of the reconstructed volume was also measured. This method also produced improved demarcation of spike boundaries in viral membranes when compared with popular techniques like weighted back projection and the algebraic reconstruction technique. Improved ET reconstructions will provide better structure elucidation and improved feature visualization, which can aid in solving key biological issues. Our method can also be generalized to other tomographic modalities.

[1]  J M Carazo,et al.  XMIPP: a new generation of an open-source image processing package for electron microscopy. , 2004, Journal of structural biology.

[2]  Dominikus Noll,et al.  The inverse problem of emission tomography , 2002 .

[3]  E. Somersalo,et al.  Statistical and computational inverse problems , 2004 .

[4]  Hans Rullgård A new principle for choosing regularization parameter in certain inverse problems , 2008 .

[5]  M. van Heel,et al.  Fourier shell correlation threshold criteria. , 2005, Journal of structural biology.

[6]  Ajay Gopinath,et al.  Reconstruction comparison and a composite segmentation method for electron tomography , 2010, 2010 IEEE International Conference on Image Processing.

[7]  H. RULLGÅRD,et al.  Simulation of transmission electron microscope images of biological specimens , 2011, Journal of microscopy.

[8]  Ming Li,et al.  Computational Inversion of Electron Tomography Images Using L2-Gradient Flows. , 2011, Journal of computational mathematics : an international journal on numerical methods, analysis and applications.

[9]  J A Sethian,et al.  A fast marching level set method for monotonically advancing fronts. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[10]  Avinash C. Kak,et al.  Principles of computerized tomographic imaging , 2001, Classics in applied mathematics.

[11]  P. Green On Use of the EM Algorithm for Penalized Likelihood Estimation , 1990 .

[12]  Zeyun Yu Computational approaches for structural analysis of large bio-molecular complexes , 2006 .

[13]  Josiane Zerubia,et al.  Richardson–Lucy algorithm with total variation regularization for 3D confocal microscope deconvolution , 2006, Microscopy research and technique.

[14]  Donald Bliss,et al.  Cryoelectron Tomographic Analysis of an HIV-neutralizing Protein and Its Complex with Native Viral gp120* , 2007, Journal of Biological Chemistry.

[15]  G. Sapiro,et al.  Molecular architecture of native HIV-1 gp120 trimers , 2008, Nature.

[16]  Anand Rangarajan,et al.  A Bayesian Joint Mixture Framework for the Integration of Anatomical Information in Functional Image Reconstruction , 2000, Journal of Mathematical Imaging and Vision.

[17]  Alan C. Bovik,et al.  Automatic Feature Extraction and Statistical Shape Model of the AIDS Virus Spike , 2012, IEEE Transactions on Biomedical Engineering.

[18]  Qin Zhang,et al.  Macromolecular structure modeling from 3D EM using VolRover 2.0. , 2012, Biopolymers.

[19]  Gabor T. Herman,et al.  Image reconstruction from projections : the fundamentals of computerized tomography , 1980 .

[20]  Gabor T. Herman,et al.  Image-Modeling Gibbs Priors , 1995, CVGIP Graph. Model. Image Process..

[21]  M. Bertero,et al.  Efficient gradient projection methods for edge-preserving removal of Poisson noise , 2009 .

[22]  Frank Natterer,et al.  Mathematical methods in image reconstruction , 2001, SIAM monographs on mathematical modeling and computation.

[23]  J. Frank Electron tomography : methods for three-dimensional visualization of structures in the cell , 2005 .

[24]  Anand Rangarajan,et al.  Bayesian image reconstruction for transmission tomography using deterministic annealing , 2003, J. Electronic Imaging.

[25]  Chandrajit L. Bajaj,et al.  INVERSION OF ELECTRON TOMOGRAPHY IMAGES USING L 2 -GRADIENT FLOWS —- COMPUTATIONAL METHODS * , 2011 .

[26]  Anand Rangarajan,et al.  Bayesian reconstruction of functional images using anatomical information as priors , 1993, IEEE Trans. Medical Imaging.

[27]  A. Frangakis,et al.  Classification of electron sub-tomograms with neural networks and its application to template-matching. , 2011, Journal of structural biology.

[28]  Guoliang Xu,et al.  Single-particle reconstruction using L(2)-gradient flow. , 2011, Journal of structural biology.

[29]  Zeyun Yu,et al.  Volumetric feature extraction and visualization of tomographic molecular imaging. , 2003, Journal of structural biology.

[30]  R. Fahrig,et al.  Simultaneous segmentation and reconstruction: a level set method approach for limited view computed tomography. , 2010, Medical physics.

[32]  H. Engl,et al.  Regularization of Inverse Problems , 1996 .

[33]  Alvaro R. De Pierro,et al.  On the convergence of an EM-type algorithm for penalized likelihood estimation in emission tomography , 1995, IEEE Trans. Medical Imaging.

[34]  Duccio Fanelli,et al.  Electron tomography: a short overview with an emphasis on the absorption potential model for the forward problem , 2008 .